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Finding the Fourth Proportional to 457.46, 625.84 and 455.50

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Solution

The fourth proportional to 457.46, 625.84 and 455.50 is: 623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.46 : 625.84 = 455.50 : x
  2. Step 2: Convert to fraction form
    457.46/625.84 = 455.50/x
  3. Step 3: Cross multiply
    457.46x = 625.84 × 455.50
  4. Step 4: Simplify right side
    457.46x = 285,066.99
  5. Step 5: Solve for x
    x = 285,066.99/457.46
  6. Step 6: Final answer
    x = 623.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.